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Finding the Fourth Proportional to 345,178.53, 517,838.40 and 145,498.95

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Solution

The fourth proportional to 345,178.53, 517,838.40 and 145,498.95 is: 218,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,178.53 : 517,838.40 = 145,498.95 : x
  2. Step 2: Convert to fraction form
    345,178.53/517,838.40 = 145,498.95/x
  3. Step 3: Cross multiply
    345,178.53x = 517,838.40 × 145,498.95
  4. Step 4: Simplify right side
    345,178.53x = 75,344,943,469.68
  5. Step 5: Solve for x
    x = 75,344,943,469.68/345,178.53
  6. Step 6: Final answer
    x = 218,278.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.